The Conley index, gauge theory, and triangulations

Abstract

This is an expository paper about Seiberg-Witten Floer stable homotopy types. We outline their construction, which is based on the Conley index and finite dimensional approximation. We then describe several applications, including the disproof of the high-dimensional triangulation conjecture.

22 pages; corrected statements on p.12; fixed typos

References in corpus (5)

• Ricci flow with surgery on three-manifolds
• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
• Suspensions of homology spheres
• Energy uncertainty of the final state of a decay process
• The proximal-proximal gradient algorithm